852832816 has 80 divisors (see below), whose sum is σ = 1889307648. Its totient is φ = 369388800.

The previous prime is 852832811. The next prime is 852832817. The reversal of 852832816 is 618238258.

It is not an unprimeable number, because it can be changed into a prime (852832811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364386 + ... + 366718.

Almost surely, 2^852832816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852832816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944653824).

852832816 is an abundant number, since it is smaller than the sum of its proper divisors (1036474832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

852832816 is a wasteful number, since it uses less digits than its factorization.

852832816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2444 counting only the distinct ones).

The product of its digits is 184320, while the sum is 43.

The square root of 852832816 is about 29203.3014571983. The cubic root of 852832816 is about 948.3193983914.

The spelling of 852832816 in words is "eight hundred fifty-two million, eight hundred thirty-two thousand, eight hundred sixteen".